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Finding the Fourth Proportional to 596.67, 822.86 and 409.86

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Solution

The fourth proportional to 596.67, 822.86 and 409.86 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.67 : 822.86 = 409.86 : x
  2. Step 2: Convert to fraction form
    596.67/822.86 = 409.86/x
  3. Step 3: Cross multiply
    596.67x = 822.86 × 409.86
  4. Step 4: Simplify right side
    596.67x = 337,256.89
  5. Step 5: Solve for x
    x = 337,256.89/596.67
  6. Step 6: Final answer
    x = 565.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.